$$ \text { The value of } \int \frac{d x}{\sqrt{2 x-x^2}} \text { is } $$

$$ \int e^x\left[\frac{x^2+1}{(x+1)^2}\right] d x \quad \text { is equal to } $$

If $$\int \frac{1}{\sqrt{\sin ^3 x \cos x}} d x=\frac{k}{\sqrt{\tan x}}+c$$ then the value of $$k$$ is

$$\int \sqrt{x^2-4 x+2} d x=$$